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Finding the Third Proportional to 113,396.50 and 248,339

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Solution

The third proportional to 113,396.50 and 248,339 is: 543,863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,396.50 : 248,339 = 248,339 : x
  2. Step 2: Convert to fraction form
    113,396.50/248,339 = 248,339/x
  3. Step 3: Cross multiply
    113,396.50x = 248,339 × 248,339
  4. Step 4: Simplify right side
    113,396.50x = 61,672,258,921
  5. Step 5: Solve for x
    x = 61,672,258,921/113,396.50
  6. Step 6: Final answer
    x = 543,863.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.